4097251648 has 224 divisors, whose sum is σ = 10187440128. Its totient is φ = 1596672000.

The previous prime is 4097251633. The next prime is 4097251661. The reversal of 4097251648 is 8461527904.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 4097251598 and 4097251607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32261761 + ... + 32261887.

Almost surely, 2^4097251648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097251648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5093720064).

4097251648 is an abundant number, since it is smaller than the sum of its proper divisors (6090188480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4097251648 is a wasteful number, since it uses less digits than its factorization.

4097251648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The square root of 4097251648 is about 64009.7777530902. Note that the first 4 decimals coincide. The cubic root of 4097251648 is about 1600.1629584023.

The spelling of 4097251648 in words is "four billion, ninety-seven million, two hundred fifty-one thousand, six hundred forty-eight".